Research Papers

Epistemic Uncertainty Stemming From Measurement Processing—A Case Study of Multiphase Shock Tube Experiments

[+] Author and Article Information
Chanyoung Park

Department of Mechanical and
Aerospace Engineering,
University of Florida,
Gainesville, FL 32611
e-mail: cy.park@ufl.edu

Justin Matthew

Department of Mechanical and
Aerospace Engineering,
University of Florida,
Gainesville, FL 32611
e-mail: jtmathew@live.com

Nam H. Kim

Department of Mechanical and
Aerospace Engineering,
University of Florida,
Gainesville, FL 32611
e-mail: nkim@ufl.edu

Raphael T. Haftka

Department of Mechanical and
Aerospace Engineering,
University of Florida,
Gainesville, FL 32611
e-mail: haftka@ufl.edu

1Corresponding author.

Manuscript received June 18, 2018; final manuscript received February 4, 2019; published online March 7, 2019. Assoc. Editor: Scott Doebling.

J. Verif. Valid. Uncert 3(4), 041001 (Mar 07, 2019) (11 pages) Paper No: VVUQ-18-1018; doi: 10.1115/1.4042814 History: Received June 18, 2018; Revised February 04, 2019

Experiments of a shock hitting a curtain of particles were conducted at the multiphase shock tube facility at Sandia National Laboratories. These are studied in this paper for quantifying the epistemic uncertainty in the experimental measurements due to processing via measurement models. Schlieren and X-ray imaging techniques were used to obtain the measurements that characterize the particle curtain with particle volume fraction and curtain edge locations. The epistemic uncertainties in the experimental setup and image processing methods were identified and measured. The effects of these uncertainties on the uncertainty in the extracted experimental measurements were quantified. The influence of the epistemic uncertainty was significantly higher than the experimental variability that has been previously considered as the most important uncertainty of experiments.

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Fig. 1

Schematic figure of the shock tube experiment: (a) Sandia multiphase shock tube, (b) particle curtain before impact, and (c) particle curtain after impact

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Fig. 2

Experimental postprocessing procedure

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Fig. 3

Schlieren image of curtain: (a) particle curtain before impact and (b) particle curtain after impact

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Fig. 4

Schlieren measurement processing

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Fig. 5

Multiphase shock tube X-ray apparatus schematic

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Fig. 6

X-ray image of the particle curtain: (a) raw X-ray image of test section and (b) particle curtain X-ray image

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Fig. 7

Glass wedge for X-ray calibration experiment

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Fig. 8

Calibration experiment results for attenuation coefficient

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Fig. 9

X-ray measurement processing

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Fig. 10

Schlieren apparatus misalignment

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Fig. 11

Schlieren particle front locations: (a) front locations (four experiments) and (b) averaged front locations with 95% confidence intervals

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Fig. 14

X-ray volume fractions: (a) volume fraction profiles (three experiments) and (b) volume fraction with 95% confidence intervals

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Fig. 13

The uncertainty in the estimation of the attenuation coefficient curve and its effect on a calculated volume fraction profile: (a) randomly generated possible attenuation coefficient curves and (b) uncertainty in particle volume fraction profiles (t=0 μs) due to the uncertainty in the attenuation coefficient curve estimation

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Fig. 12

The 95% confidence interval for the attenuation coefficient curve and two randomly generated curves

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Fig. 15

Uncertainty in front locations and particle curtain volume fraction profiles: (a) epistemic uncertainty (gray band) and experimental variability (multiple circles) in curtain front locations and (b) computed uncertainty in particle volume fraction profile due to the uncertainty in the attenuation coefficient and the variability in the profiles (t=0 μs)



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